Elective Mathematics quick practice

Question 1 of 10

Solve log₂ x = 5.

Question 2 of 10

Express (4x + 1)/[(x + 5)(x + 4)] in partial fractions. Find the value of B in A/(x + 5) + B/(x + 4).

Question 3 of 10

The value of cos 60° is ___

Question 4 of 10

Solve 2 sin x = 1 for 0° ≤ x ≤ 360°.

Question 5 of 10

Find the volume generated when y = x² from x = 0 to x = 1 is rotated about the x-axis.

Question 6 of 10

Simplify 16^(−1/2).

Question 7 of 10

The image of the point (1, 2) under the matrix [[2, 0], [0, 3]] is

Question 8 of 10

Rankings of 5 students in two tests give Σd² = 17. Find Spearman's coefficient to 2 decimal places.

Question 9 of 10

Differentiate 5x² − 3x + 7 with respect to x.

Question 10 of 10

A block of mass 5 kg rests on a rough horizontal surface with μ = 0.3. Find the limiting friction. (g = 10 m/s²)